I have managed to get the 32bit Windows version of Doodly working in linux using wine and winetricks, and using vulkan as the renderer. This assumes that you have installed the vulkan driver packages for your video card - which is beyond the scope of this gist. I set it up with its own wine prefix, so it wasn't affecting any others. Documented here so other people can give it a try - you will need to remember to specify the path to where you downloaded the installer:
env WINEPREFIX="$HOME/wine-doodly" WINEARCH=win32 winetricks dotnet48 dxvk corefonts mf nuget
env WINEPREFIX="$HOME/wine-doodly" WINEARCH=win32 winetricks renderer=vulkan
env WINEPREFIX="$HOME/wine-doodly" WINEARCH=win32 wine <path_to_installer>/DoodlySetup2.7.1_32bit.exe